The magnetic induction and magnetic potential due to a magnetic dipole of moment 15`Am^(2)` at a distance of 1m from its centre along a line making an angle of`60^(@)` with its axis are

Options

A. `19.8 xx10^(-7) T,7.5 xx10^(-7) J//Am`
B. `8.19 xx10^(-7) T,7.5xx10^(-7) J//Am`
C. `19.8 xx10^(-7) T,5.7 xx10^(-7) J//Am`
D. `8.19 xx10^(-7)T,5.7 xx10^(-7) J//Am`

Answer

A

Explanation

`B=(mu_(0))/(4pi)sqrt(3cos^(2)theta+1)`
`=(10^(-7)xx15)/(1)sqrt(3cos^(2)theta+1)=19.8xx10^(-7)T`
`V=(mu_(0))/(4pi)(Mcostheta)/(r^(2))`
`=(10^(-7)xx15xxcos60)/(1)=7.5xx10^(-7)J/Am`